Write the equation of the line that passes through the points (-3,-8) and (6,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer 1

Answer:

The equation in point-slope form is: [tex]\mathbf{y+8= \frac{4}{9}(x+3)}[/tex]

Step-by-step explanation:

Write the equation of the line that passes through the points (-3,-8) and (6,-4)

The point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

Where m is slope and x₁ and y₁ are the points given

Finding Slope

Slope can be found of given points using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=-3, y_1=-8, x_2=6 \ and \ y_2=-4[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-4-(-8)}{6-(-3)}\\Slope=\frac{-4+8}{6+3}\\Slope=\frac{4}{9}[/tex]

So, slope m = 4/9

Using point (-3,-8) and slope m = 4/9 the equation is:

[tex]y-y_1=m(x-x_1)\\y-(-8)=\frac{4}{9}(x-(-3))\\y+8= \frac{4}{9}(x+3)\\[/tex]

So, the equation in point-slope form is: [tex]\mathbf{y+8= \frac{4}{9}(x+3)}[/tex]


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Step-by-step explanation:

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Calculate the slope of the line passing through (3.8) and (-4,2).

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Answer:

6/7

comment if you need an explanation

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Answer:  

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Step-by-step explanation:

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Answer: i've heard about it but i'm not too much into it

Answer: Cuphead is a classic run and gun action game heavily focused on boss battles. Inspired by cartoons of the 1930s, the visuals and audio are painstakingly created with the same techniques of the era, i.e. traditional hand drawn cel animation, watercolor backgrounds, and original jazz recordings.

Step-by-step explanation:

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Answers

Answer:

m∠2= 39

Step-by-step explanation:

m∠2 = m∠1 -29

m∠2 = 107- m∠1

so  m∠1 -29 = 107- m∠1

m∠1 +m∠1 = 107 +29

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The staff at Barnett Junior High School went from 40 to 29 employees during the pandemic. What is the percent decrease in staff?

Answers

Answer:

65% - 55%

Step-by-step explanation:

An outlet store had monthly sales of $73,000 and spent 8% of it on health insurance.
How much was spent on health insurance?

Answers

1. We assume, that the number 73000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 73000 is 100%, so we can write it down as 73000=100%.

4. We know, that x is 8% of the output value, so we can write it down as x=8%.

5. Now we have two simple equations:

1) 73000=100%

2) x=8%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

73000/x=100%/8%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8% of 73000

73000/x=100/8

(73000/x)*x=(100/8)*x       - we multiply both sides of the equation by x

73000=12.5*x       - we divide both sides of the equation by (12.5) to get x

73000/12.5=x

5840=x

x=5840

now we have:

8% of 73000=5840

How much was spent on health insurance is $5,840

Using this formula

Amount spent=Monthly Sales× Health insurance percentage

Where:

Monthly Sales =$73,000

Health insurance percentage=8%

Let plug in the formula

Amount spent=$73,000×8%

Amount spent=$5,840

Inconclusion How much was spent on health insurance is $5,840

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https://brainly.com/question/13950110

Function K(v) represents the kinetic energy, in joules, of an object with a mass of 20 kilograms traveling with
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Answer:

b. 225 joules

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

The result is [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

Since there is no symbol in front of the first bracket, we can straight up remove it with no consequences.

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Answer:

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Step-by-step explanation:

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Select the four points that appear on the line with the given slope and y-intercept
Slope: 2/3 y-intercept = -9

A- (2,3)
B- (0,-9)
C- (1,9)
D-(9,-3)
E-(6,-5)
F-(3,-7)

Answers

Answer:

The four points that appear on the line are:

B- (0,-9)

D-(9,-3)

E-(6,-5)

F-(3,-7)

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y = mx + b

Being m the slope and b the y-intercept.

We are given the values of m=2/3 and b=-9, so the equation of the line is:

y = 2/3 x - 9

We must select from the list below the points that lie on the line. To test each point, we substitute the value of x and calculate the value of y. If it matches the given y-coordinate, then the point lies on the line.

A- (2,3)

Calculate: y = 2/3 (2) - 9 = -23/3.

This point is not on the line because -23/3 ≠ 3

B- (0,-9)

Calculate: y = 2/3 (0) - 9 = -9.

This point is on the line because -9 = -9

C- (1,9)

Calculate: y = 2/3 (1) - 9 = -25/3.

This point is not on the line, because -25/3 ≠ 3

D-(9,-3)

Calculate: y = 2/3 (9) - 9 = -3.

This point is on the line because -3 = -3

E-(6,-5)

Calculate: y = 2/3 (6) - 9 = -5.

This point is on the line because -5 = -5

F-(3,-7)

Calculate: y = 2/3 (3) - 9 = -7.

This point is on the line because -7 = -7

The four points that appear on the line are:

B- (0,-9)

D-(9,-3)

E-(6,-5)

F-(3,-7)

find the angle represented by x rounded to the nearest tenth of a degree

Answers

Answer:

x = 49.6°

Step-by-step explanation:

Find the image attached;

From the image;

opposite side = 16

Hypotenuse = 21

Angle of inclination = x

Using the SOH identity

sinx = opposite/hypotenuse

sin x = 16/21

sin x = 0.7619

x = arcsin 0.7619

x = 49.6° (to the nearest tenth of a degree)

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